Introduction of RAINBOW

[@govindrajput8503]

34 year old here - just loved this !

[@Shinchan-rc8jc]

Physics legends ever ❤️❤️ .......sir how do you understand all those concepts.........and who is your teacher??

[@Easyfinance2024]

Nature is his teacher...he learn from outside

[@gaurav24224]

He himself and nature ❤

[@Ranjeet_Foundation_batch]

Bhai sir ji physicist hai

[@aakash33454]

Pressure is a vector quantity. If you have time please check my statement . It is very crucial for all students of India. Sir Imagine A rigid block I pushed it to 25 pa pressure and my friend pushes it 25 pa pressure in opposite direction Then if pressure is scalar net pressure on the block is 50 pa. Right But Now Imagine The block area is unit. Then I pushed it 25 N Force and my friend pushes it opposite -25N force Net force on the block is 0 then net pressure on the body is absolutely 0 pa But here is 50 pa how ???? Another example Let a inner point in a liquid the upward pressure + downward pressure +side pressure is 4hdg but net pressure is 0. As net force on the point is 0 so net pressure is 0 but if pressure is scale then it should be 4 hdg why it is not happens? My last example is related to biology In a kidney structure of a human body here is many nephrons. When ultra filtration process is happened in a nephron the net pressure is (effective filtration pressure) (Glomerular pressure - protein pressure - pressure of bowman's capsule ) It is subtraction of pressure direction wise not scalar addition . I think it that scientist do not want to reveal it as p=F/A All astonished about that a vector quantity is divided by a scalar quantity and resultant is vector So they expressed as scalar not really I think . Plz reply my comment . Dear sir

[@gaurav24224]

@@aakash33454pls rethink on a point inside liquid... pressure is exerted in all directions but there is no specific direction...P=pgh here rho , h , g are constant. No direction.💁 Pressure on block forces are in opposite directions so..Fnet=0 and P= F/A= 0 But still that object experience pressure(50pa) Consider yourself inside water ... though net force may be zero...but Inside water you'll feel pressure.

[@saminders]

Dear and respected guruvar, I am highly grateful to you to upload that type of videos. I am 10 th standard teacher. You cleared many doubts about this topic. Thank you, thank you, and thank you very much sir.

[@locagamer5966]

I'm taking botany class by pw but when this video notifications🔔 come and i click and when I stop i see I already finish this whole 42min video of physics.... ❤❤❤ ek tarah se maja hi aarha tha Aaj kal ke social media pe faltu chij ke aalwa apna internet ess par laga denge to knowledge ki barshi ho jayegi

[@hcverma2928]

Great. Thank you for validating my efforts. A Botany teacher seeing 42 min video on rainbow physics in one go is a great gift for me.

[@parallellinesmeetatinfinity]

​@@hcverma2928 sir wo student hai, uski class thi, wo Chhod ke dekha usne, heee heee 😐

[@ZaxTheLittleBoy]

"❤"​@@hcverma2928

[@abhishektandon]

@@parallellinesmeetatinfinitylol😂

[@pravinnagpure4597]

Vipin sir ki class chhod k aaya h 🗿

[@ashwiniroushan226]

My physics teacher at school in 12th was his student❤ He was able to explain the complex topics very simply❤❤

[@adarshjena407]

Thank You Sir for uploading your class lectures.i am a class 12 student. i am fascinated by your teaching skills.i watch your lectures not just for knowlegde but to observe your way of teaching of how you develop curiousity among students about the topic by just asking simple questions.this is how teachers should teach in school.i want to become a teacher like you 😀

[@pcjawbscbl]

Luckily, I met him on 25th of August at Bhootnath metro station lucknow..Very nice person..my best birthday ever

[@Msdcr7forever]

Loved this explanation sooo much sir ❤ I'm an 11th science student....Aapka iye explanations, classes mujhe bohut interesting lagta haii Thank you sir🙏

[@Anmol_singh5425]

Legend of physics that I have seen ever❤❤❤❤

[@jayashreemg]

interesting..... Now I am become student of Physics which is new for me....thank you so much. Sir has taught this very interestingly

[@priyesh_rai]

Dear Sir, I'm Priyesh Rai student of standard 10th from Champaran, Bihar. My question is that, 1. What is the difference between conventional current and electrical current. 2. How and why conventional current and electrical current flow from positive to negative terminal and negative to positive terminal respectively? Thanku 🙏

[@atharvasonkar4441]

Let me help you with the second question... When the study of electricity was going on, electrons were not discovered, and hence, it was considered that positive charges flow and cause the current to generate When electrons came to discovery, it was observed that electrons were the ones that traveled to generate current The theory of current and its properties were already laid out by that time, so the whole theory had to be changed because electrons were the ones that traveled and not the protons. This would take a lot of time, so it is by convention said that protons are the ones that travel (even if the electrons travel) Hope this helps

[@priyesh_rai]

So why are we still carrying this wrong theory? Conventional current is also written in NCERT... I got confused by this.

[@rex_08]

Convention means traditional way of doing things, Like everyone else explained. Conventional current is the current which was discovered long back and was not discarded due to the books. Electrical current is the actual current which flows.

[@Lakshaypandey-lo2ql]

@@priyesh_rai we can say that conventinol current is not correct theory but as we knoe the name of this theory is name upon a word conventinol which means primitive so it is a old theory so by showing respect of those premative people we call it conventional. your perspective is totally good

[@priyesh_rai]

@@Lakshaypandey-lo2ql Thank You

[@RajSoni-vt1ob]

Kash ese teacher's ne hme bhi padaya hota to aaj baat hi kuch or hoti ❤

[@SuhaibMir-wi3lw]

Tera bhai kuch nhi hosakta hai agr koii bhii ho😅

[@debeshmohanty9414]

Sir questions plz 1.We have the formula of Potential energy-mgh . The The body applies a force of mg towards the earth and according to F×s formula . Mg is force then if force applied by us is same as the force the body applies on earth then how does the body move up . 2. In series how the magnitude of current remains constant if the resistance is coming on the way then how magnitude will remain constant .

[@Xavier._.420]

best proffessor of the 21st century❤️❤️

[@Stunning_Gameplays]

Simplicity by look High level by knowledge ❤

[@Esaralprojee]

Sir jee advance lecture plz❤❤

[@biswajit__5]

Wish You a great Independence Day . Sir , please make a video on Moment Of Inertia and if possible please give a simple demonstration on that , in the whole syllabus of 11th and 12th physics only this portion leads students' mind shut ... It's a humble request.

[@AnkitSingh-ud4ix]

Agr appke jese teacher sabko mil jaye each and every subject to ham dhanya ho jaynge❤❤

[@Xmnofficial]

How sweet that would be sitting thre and taking your class sir🙂‍↔️😍

[@Mech.Engineering_Student]

HC Verma sir is pure heart person ❣️🙏💝🇮🇳💝❣️

[@AtharvaPurohit-xj4pb]

Every physics student takes a break from study to watch sir's videos ♥️

[@Ratan_yadav_official45]

नौकरी और passion में यहीं अंतर है।

[@yatharthchoudhary3652]

Sir as you said that dispersion occurs due to different speed of different wavelengths........ sir but they disperse in prism and also in raindrop due to refraction but why not we see this phenomenon of dispersion in glass slab or any other transparent object ??

[@nehadubey2900]

THANK YOU SO MUCH SIR YOU ARE AMAZING AND YOUR BOOK IS A RAMBAN FOR JEE❤‍🩹 VERY VERY GRATEFUL TO YOU SIR RESPECT+++++❣👏🙌NO WORDS TO YOUR INTELLIGENCE🙏TODAY I SAW THIS VIDEO OF URS AND NOW I KNOW WHY I HAVE TO STUDY PHYSICS LOTS OF LOVE SIR😁😁

[@YammyPhysics]

Indeed a legend of physics teaching

[@sandeepkumarnahak8217]

Sir can you completely teach us how the angular momentum conservation occurs and how the net torque will be zero.....plz sir completely explain plz....

[@OjasviNone]

Sir, it's my aim to meet you one day your lectures are very interesting This topic from class 10 physics is actually complex to understand and was explained in short in books but in your lecture you gave each and every detail about the topic it's actually a dream of mine to have a teacher like you

[@xyz.user.2010]

Wishing you a very happy independence day sir ❤❤❤❤❤

[@anuragvyas2992]

why not diffraction occur in glass slab or spherical lenses??❓❓

[@amanjyotijatta2085]

It was so beautiful 40mins I loved the explanation Thank You Sir❤

[@Systum__jod]

Dear sir, I am ojaswi arya of standard 10th from muzaffarpur, bihar. The question has been stuck in my mind for such a long time 1. If resonant frequency and natural frequency are different then the amplitude of object is decreased and when they are equal, the energy is increased. But i studied somewhere that when resonant frequency of a light wave and natural frequency of object are different then the atom re-emit the photon of same frequency. That is the point i did not understand. And also the incoming light is just a combination of electric and magnetic field then how object will determine the specific portion of the light wave that is equal to its natural frequency. Sir, i want to learn more about the wave nature of light and quantum mechanics but sometimes it confuses more than understanding. Hope you will upload a video on this query. Thank you sir.

[@kabitabiswas2996]

Sir I have a question that how to define or calculate the pressure energy which is used in the Bernoulli's Theorem and how pressure energy is connected with the increasing and the decreasing of Kinetic energy and Potential energy of a fluid ? Sir please try to answer me.

[@smartgkgsclasses]

A long , straight wire carrying a current of 1.0 A is placed horizontal lly in a uniform magnetic field B = 1.0×10^-5 T pointing vertically upward ( figure) . Find the magnitude of the resultant magnetic field at the points P and Q , both situated at distance of 2.0 cm from the wire in the same horizontal plane. 😢 Here vertically upward ka kya sense hai . Please bathaye sir

[@atharnarman]

Hello Sir, I am Atharv Narman of Class 12th from Kendriya Vidyalaya,Sonpur Bihar. And ,I am really really frustrated by the Sign Convention in a Astronomical Refracting Type Telescope at Normal Adjustment,and my question is that if the final image formed is inverted and virtual in nature ,so why there is a negetive sign in the formula as (M = -fo/fe), is this not a Contradiction? Sir please solve my doubt before my boards , I hope this mail may reach you sooner rather than later. Your Faithful Atharv Narman

[@thecreativetaj0204]

Waoo what a feel in this colourful lecture 😌 amazing 😌

[@RadheKumar-c4q]

A class for class 10 students of MR Jaipuria School, during their educational tour to Sopan Ashram Kanpur

[@sushantsetujha2476]

He is not teaching physics he is making us to feel the beauty of physics

[@adityashukla9099]

The living legend ❤

[@devindersinghthakur1737]

Good Evening Sir Myself Saisha From Haryana My question is that If a moving charge produces magnetic feild then why does the electric wires which have some charge in it does not behave like a magnet ?? Thanks Sir HOPE YOU WILL CONSIDER MY QUESTION..

[@mohammadinamullah9380]

Pranam Gurudev. Happy Independence Day.

[@priyeshsingh3647]

Sir ek question ayya dimag me ki light soil ke ander se nhi chal skte to iska mtlb soil ka refractive index nhi ho ga .

[@AzadSingh-lw4wd]

40:32 sir ji ne nahi dekha fir bhi smjha diye dekha hota to shayad ..... imagine 😊❤

[@balajibardana9214]

Mai subah subah uthke sabse pehle yahi dekhne aata hu ki sir ne koi vedio upload ki h kya par pta nhi kyu sir ke channel pe videos bhot kam upload hote hai sir please upload kiya kijiye because seeing you and listening to your thoughts gives me peace ❤🙏

[@s.rijay_raj]

Sir I am confused between convex lens or bifocal lens to correct presbiopia some says convex and some says bifocal please clear my dought sir

[@VaibhavJaiswal5380]

Sir , I am a class 11 student. Please explain about axial vectors. And sir why large angle is a not a vector. I would be very grateful to you. Thanks sir

[@amaan8350]

Sir i am a student of class 11 I am having trouble while studying circular motion Sir Why do we take the angular disp /velocity/acc along the axis Becoz the particle is moving in the circular path and we are taking its disl /vel along the axis which somewhat doesn't make sense Plz sir if you can clear this doubt i would be very helpful to me

[@ashoksadnani4410]

Sir happy teacher's day I love you so much ❤

[@ashimaftab16]

Sir .. Internal reflection hota hai ya...fir total internal reflection.

[@Maths-ou1ym]

Namaste sir..sir please upload jee advanced discussion part .it was very very useful . learning very much from that series .Such a great explanation by you.Thank you so.much.

[@kansalpk0]

namaste sir, i have been teaching physics for jee adv from last 21 years, please discuss in a video concepts of physics part 1 Q17 "why beam balance is always horizontal when equal masses are put on the two sides however torques are equal even when it is not"🙏

[@Garvsantani09]

I am in class 10 th And i am very curious about How hc verma one of the greatest physician teach ...... It's a quite Interesting

[@jogi_mastana_]

Good morning sir...sir जब निकट दृष्टि दोष के निवारण की चर्चा करते है तब अवतल लेंस से बना चस्मा काम लेते है लेकिन अवतल लेंस तो वस्तु का छोटा प्रतिबिंब बनाता है और प्रतिबिंब ठीक इस जगह नहीं बनाता जहा वस्तु रखी है लेकिन चश्मा पहनने के बाद भी हमे वस्तु उसी आकार की ओर उसी जगह पर कैसे दिखाई दे सकती है

[@jagyaswarmahapatraarts9174]

Sir wish you a happy teacher's day

[@SATISHSINGH-zo9kr]

Sir are you explaining this topic for class 10 students❤❤

[@etitrivedi2790]

SIR , my name is anant my doubt is that we know that flowing electron in a wire experiences resistance but what if electron is showing its wave nature does than he will experience resistance?? ( actually i do not know anything about its wave nature so my question could be silly).

[@etitrivedi2790]

because i am in 10 standard

[@skfacts2167]

All colourfull things are beautiful 🤔

[@flaminggamer7703]

Elaborate about the movement of electron inside an atom ; can we compare it with the movement of the planets

[@vatsalgoswami763]

Why do we specifically use iron fillings ( or few more materials ) or not any other elements for determine iron filling ??

[@shrinivassd3485]

What do you mean exactly?

[@Raiaryan.Youtuber]

His voice is also awesome

[@SyedShah-w2h]

Hello sir, I have a question , Can we say that by increasing the diameter of the conductor then the electrons will transfer from one shell to another shell.

[@SkTripathi108]

Respected sir, I hope you are doing well. I am trying to understand why the degree of a constant polynomial, such as p(x) = 5x^0, is defined as zero, particularly in cases where the polynomial is not defined at x = 0. Because of 5×(0^0) is defined. Could you please provide clarification on how this definition holds in such cases and why the degree is still considered zero? Your insights would greatly help deepen my understanding of this concept. I truly appreciate your guidance. Thank you for your time. Best regards, Suraj Tripathi

[@AjitSingh-ev9sy]

I have a doubt :- That rainbow's d/dx (cone) works as the cone cell (color sensitive cell) that present on retina in our eyes 🧐 Btw beautiful explanation sir🙏

[@XpertMujahid]

Answer the question sir. Since ray is the path of light, It's mentioned in your book.While teaching lenses many teachers say light Ray is entering in lense,so how can light ka path enters in lense😢.

[@atharvchourasia2516]

Hello sir Sir why AC current do not show magnetic effect? This is school teacher taught me And if AC current do not magnetic effect then why AC motors work

[@HarshilAggarwal-ly5jn]

Good Evening sir, My name is Harshil Aggarwal I am a student of class 11 a Question caught my mind while I was studying physics and it goes as, A particle Of mass 2m is travelling in deep space with velocity v it is exploded in 2 fragments each of mass m, one mass comes to rest while other fragment keeps on moving, the total kinetic energy of the particle 2m before explosion was mv^2 but after the equation the total kinetic energy, that is the kinetic energy of the fragment at rest + kinetic energy of the fragment moving is equal to 2mv^2, So how is there a gain in kinetic energy while there is no external forces acting on the ball, can you please help me in this question dear Sir, Thanks and regards.

[@RumiSingh-l1l]

Happy teacher's day sir❤❤

[@URCristianosue07]

Good Evening Sir i had a doubt can you please clear it out please?

[@RajnishKumarRoy-s9j]

Sir how power is related with current, voltage and resistance

[@haseefahamed2252]

Sir, I am studying advance level in Sri lanka I have a doubt in surface tension that is When we study the capillary rising action, we consider the equilibrium of water and derive the height of water . In that case, we want to consider the forces act on water only. In that, the surface tension acts on the capillar tube downwards , according to the newton's third law capillar tube give a same force to the water upwards. I want to know if this explanation is correct or wrong . I searched on the Internet but I couldn't get a clear answer. Please reply to me, sir🙂🙂

[@shahacks9023]

Thanks sir its a great video plz sir create a separate playlist for all topics of class 10th cbse board 😮

[@HINtheKNIGHT]

Sir, I have a doubt, why does an electric field apply force on a positive charge along it instead of applying force against it. I hope you can help me with this..

[@Akshat-tp6if]

Sir i have this doubt in my mind while i was reading atomic str. Of class 11th in it ,it says that E.M waves do not have mass but when we see in gravitation chapter black hole can even bend or attract the em waves then how it do so if it doesnt have any mass and the force that the black hole is applying is the gravitational force which acts on objects with masss

[@JayKumarofficial-5253]

Sir, Aapke charano me pranam. Main pichle 5 saal se apse contact karne ki koshis kar raha hu. Meri science related ek do samasya hai. Jo mujhe sone nahi dati. Sir please 🙏🙏🙏 reply dijiye Apki mahan krapa hogi.

[@kumarvishwajit8574]

Awesome Sir. ❤

[@AdvancedPhysics]

Refractive index of cold plasma is less than one

[@mukul1035]

Sir can you please make a video on translating and rotatory motion

[@Harshsharma-zc1qt]

Kuch soh ke aate hai toh bandh jaate hai❤❤❤

[@The_crazy_gamerz]

Chaturdish gurahan kya hota hai in chapter Alternating current please tell me sir

[@anonymoususer103]

Good evening sir i have a physics doubt i am a dropper preparing for jee Doubt- so we know moving electric charges produce magnetic field so suppose observer moves with same velocity as charge, from his frame of reference magnetic field should not be created by charge and from frame of ground charge should produce magnetic field so what will actually happen

[@IshantKumar-w3f]

27:33 sir what is there internal reflection or total internal reflection

[@Garvsantani09]

Let me Clear your doubt .So, In Internal reflection Some Parts of light are Reflect outside from Droplet And we cannot see because the outside part is very Few And in Total reflection Nothing is Reflected outside All reflection held internally . When you look up 10 th ncert There is Internal reflection not Total Internal reflection. Thank you 😊

[@Garvsantani09]

I hope you will understand 😊

[@ViratYadav-c6r]

Thanks sir Please make a video on resistance and right hand thumbs rule

[@mrgamer-mk4wi]

Sir Happy Independence Day Happy to see our legend also in 78th Freedom aniversary 🇮🇳🇮🇳 Don't mind if there is any sp mistake 🙏🙏

[@arnamawasthi5403]

I want to become scientist sir and do something great for my country ❤

[@ItsHumanscience]

Sir mera bhi ek doubt solve kijiye Mere paas hai ek taraju Ek taraf hai cotton 5 kg dusri taraf hai ek loha 5 kg wala kaun jyada bhari hoga ? Kya dono barbar hongay?

[@goutam9328]

In air two weights are equal but In airless place two weights are not equal they are different.

[@prashanttiwari1859]

dear sir, im class 10 student , i want to ask that wehn vr>1, why it acts as a force multiplier.

[@Pratyush-Pranjal00]

Sir aapka offline m class kaha se letee h. Please btaaiyega😊❤

[@Speed_simulator07]

Sir , your student ( Avdesh Kumar😢😢 Dixit) is missing you❤❤❤❤❤

[@vanditseksaria5897]

sir can you please discuss few problems based on rotating frames of reference in irodov(problem number 1.111 to 1.115).I cant find a proper solution anywhere. Happy Independence day dear sir. 😀

[@sukhsagarkapar7394]

You are great, sir.

[@ArchitDubey-e5b]

sir i am a 10 th grader i want to know why do conductors conduct electricity and insulators does not? please sir answer

[@blurogamer6711]

Sir why light disperse in prism nit in glass

[@Dugguaditya-l4y]

Happy Independence Day sir 🇮🇳 Hello Sir,Greetings of the day,Sir My name is Aditya Raj I am a student of class 10th,Sir I have a doubt in physics can you please clear it. So , my question is if the current remains same throughout a Series-circuit.Then why there is a continuous drop in potential and increase in potential difference. And why the direction of flow of current is taken as opposite as of the direction of flow of electrons in a circuit . When my friends tried to ask these questions to some teachers they said that we'll study this in higher classes , it's not a match for our level but I was not satisfied. Sir please clear this doubt of mine.

[@anshujain6715]

I can answer your first question see what happens is when current passes through any component in a circuit, let's say resistor, it loses energy in order to make that component work for example if a bulb is there so it will glow but in order to glow it requires energy and that required energy is provided by current hope it helps

[@Dugguaditya-l4y]

@@anshujain6715 Thanks a Lot 🇮🇳

[@Dugguaditya-l4y]

What do you think about the second question?

[@anshujain6715]

@@Dugguaditya-l4y hm..the potential one, i would say increase in potential differnce wont be the best terminology rather you can say that the voltage across resistor decreases and the net potential difference is constant actaully in higher classes you would get to know about kirchoffs law which will make it more clear THAT THE NET CHNAGE IN VOLTAGE IS CONSTANT

[@anshujain6715]

talking about the direction of current its not taken opposite to that of flow of electrons instead it is taken as postive terminal to negative this is because current flows from higher potential to lower

[@Flexsongs]

Hello sir , i have a question that , why the ray of light bends when traveling from rare to denser medium or visa versa (I AM VERY CONFUSED 😕 )

[@rex_08]

They do so because light has different speeds in different mediums. When a light ray, suppose length "L" starts entering a medium and only half of its length has entered at some point. The part which is inside the medium will have different speed than the part which is outside the medium. This causes light to bend. You can understand this by taking the example of a trolley, shopping mall wali trolley. When you take it from a concrete road to a grass road the front two tires will hit the grass patch before the tires in the back and hence both the tires of the same trolley will have different speed which will cause the back tires to exert more force and the trolley will bend. Hope it helps

[@kaal7175]

​@@rex_08Bhai jab Charo tyre jameen me hain to speed kaise chnge ho sakti hai ? Aage wale tyre ki!

[@Flexsongs]

@@rex_08 light is not a daily life object first of all , and light slows down because of the electromagnetic waves produced by electrons and the combined wave has its peaks shifted backwards , and you are telling me that because the light slows down it bends!! But how ? Let's take an example (I know light is not daily life object) if you are traveling at a speed of 100km/h and there is a obstacle so you will just slow down after hitting it , you will not change your position ****

[@Istpmgt]

Aap itna hashte rehte hain kya baat hai sir ji Neeli wali hai ki peeli wali

[@infinityparkland]

Hi sir I am Anubhav A student of class 10 who is very interested in physics and your books. Our physics teacher Mr. Somsuvra Chakraborty has told us a lot about you. Sir is possible please reply and tell us if you know Mr. Somsuvra Chakraborty Thank you sir

[@studywaveeducation1153]

Dispersion k liye refraction hona zaroori hai kya

[@Sonithepitara]

Helo sir iam the student of class 12 name shivam i have a question why magnege have low bp and mp he has maxim number of unpaired electrons

[@piyushjha-sq2es]

sir mai class 11th ka student hu , jab maine atomic structurre padha tha tu usmai batya gay tha ki electron photon ko absorb or release karta hai lekin wekipedia par to photon ko elementry partcile kaha gaya hai to electron jo ki ek particle hai to vu khod kese kisi particle ko absorb kar sakata hai . aur sir ye photn em wave kese banata hai kyu ki sir class 10 th mai maine padha tha ki em wave ek accelerating charge banata hai lekin photon ke pass to koi charge he nahi hai , is par thoda research karane par muhjhe pata chal ki particle wave ke sath travel nahi karta jabki vo energy trasfer karata hai lekin sir agar mai light ka example lo qur bolo ki light (photon) vaha tak ja rahi hai to iska matlb kya hai ?

[@Rituraj-viralshorts]

Sir please explain me " why a moving charge produces magnetic field" please explain me . I am a student of class 10

[@HardikSeervi-i1w]

Ye video dekhle bhai kzbin.info/www/bejne/iYPNqq2srcR9lZYsi=nitPGd8kbwDNyqfJ

[@___sHlbBu]

Sir ❤❤❤❤❤❤ Plz explain significance of magnetic moment

[@ArmyLove-Nda]

Sir i have doubt in my mind . Sir in curved mirror from the centre of curvature to the point of incidence is act as normal ray. But when i draw figure then i got wrong answer Hope you will answer me❤